The Hierarchy Problem from a Minimal Surface Separation in Non-Equilibrium Physics

The large hierarchy between gravitational and electromagnetic interaction strengths is traditionally viewed as a problem of coupling constants. In this work, we propose a different perspective based on a non-equilibrium finite-size interaction framework. Starting from a unified non-equilibrium force equation that does not assume point particles, we show that the ratio of the gravitational constant to the vacuum permittivity reduces to a ratio of particle properties and characteristic length scales. Crucially, gravity probes a minimal surface-to-surface separation , derived from the non-equilibrium condition itself, while electromagnetism probes the finite spatial extent of the electron. The hierarchy therefore emerges naturally as a consequence of different accessible length scales rather than fine-tuned coupling strengths. This reformulation offers a new and physically transparent resolution of the hierarchy problem.